The power of 2 choices over preferential attachment
Probability
2014-02-18 v2 Combinatorics
Abstract
We introduce a new type of preferential attachment tree that includes choices in its evolution, like with Achlioptas processes. At each step in the growth of the graph, a new vertex is introduced. Two possible neighbor vertices are selected independently and with probability proportional to degree. Between the two, the vertex with smaller degree is chosen, and a new edge is created. We determine with high probability the largest degree of this graph up to some additive error term.
Keywords
Cite
@article{arxiv.1311.1091,
title = {The power of 2 choices over preferential attachment},
author = {Yury Malyshkin and Elliot Paquette},
journal= {arXiv preprint arXiv:1311.1091},
year = {2014}
}